Question

What is the value of −9/4 + |−8/5| − 2 1/2 ?

Answer 1

Answer:

$-2\frac{3}{4}$

Step-by-step explanation:

Given: −9/4 + |−8/5| − 2 1/2

Rewriting: $-\frac{9}{4} + |-\frac{8}{5} |-2\frac{1}{2}$

Absolute value: $-\frac{9}{4} + \frac{8}{5} -2\frac{1}{2}$

Improper fractions: $-\frac{9}{4} + \frac{8}{5} -\frac{5}{2}$

Common denominators: $-\frac{45}{20} + \frac{40}{20} -\frac{50}{20}$

Solving from left to right: $-\frac{5}{20} -\frac{50}{20}$

Solving from left to right part two: $-\frac{55}{20}$

Simplifying: $-\frac{55}{20}= -\frac{11}{4} =-2\frac{3}{4}$

Answer: $-2\frac{3}{4}$

Hope this is correct and helps, have a nice day! :D

Answer 2

Answer:

The answer is C. -3 $\frac{3}{20}$

Step-by-step explanation:

- 9/4 + 8/5 - 5/2

(The absolute value symbol makes the negative a positive, and 2 and 1/2 is 5/2 in improper form)

- 9/4 + 8/5 - 10/4

-19/4 + 8/5

-95/20 + 32/20

-63/20

-3 $\frac{3}{20}$

Hope this helps!